We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dynamical systems. We apply the results to sequential dynamical systems associated to uniformly expanding maps and to random dynamical systems given by fibred Lasota Yorke maps.

中文翻译：

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由序列和随机动力系统产生的非平稳序列的点过程

我们给出了一般的充分条件来证明标记点过程的收敛性，这些过程记录了罕见事件的发生及其对非自治动力系统的影响。我们将结果应用于与均匀扩展地图相关的顺序动力系统和由纤维 Lasota Yorke 地图给出的随机动力系统。